For prime power level p^r, all ℓ-primary rational torsion of the cuspidal generalized Drinfeld Jacobian vanishes unless ℓ divides q(q^2-1).
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Rational torsion of generalised Drinfeld modular Jacobians of prime power level
For prime power level p^r, all ℓ-primary rational torsion of the cuspidal generalized Drinfeld Jacobian vanishes unless ℓ divides q(q^2-1).